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Simplifying 9y2 = 30y + -25 Reorder the terms: 9y2 = -25 + 30y Solving 9y2 = -25 + 30y Solving for variable 'y'. Reorder the terms: 25 + -30y + 9y2 = -25 + 30y + 25 + -30y Reorder the terms: 25 + -30y + 9y2 = -25 + 25 + 30y + -30y Combine like terms: -25 + 25 = 0 25 + -30y + 9y2 = 0 + 30y + -30y 25 + -30y + 9y2 = 30y + -30y Combine like terms: 30y + -30y = 0 25 + -30y + 9y2 = 0 Factor a trinomial. (5 + -3y)(5 + -3y) = 0Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {1.666666667, 1.666666667}
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